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Finding the Fourth Proportional to 405,570.75, 608,312.31 and 135,668.30

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Solution

The fourth proportional to 405,570.75, 608,312.31 and 135,668.30 is: 203,487.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,570.75 : 608,312.31 = 135,668.30 : x
  2. Step 2: Convert to fraction form
    405,570.75/608,312.31 = 135,668.30/x
  3. Step 3: Cross multiply
    405,570.75x = 608,312.31 × 135,668.30
  4. Step 4: Simplify right side
    405,570.75x = 82,528,693,925.21
  5. Step 5: Solve for x
    x = 82,528,693,925.21/405,570.75
  6. Step 6: Final answer
    x = 203,487.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.